What is the slope of the tangent line of # (x/y-2)(xy-3)-e^y= C #, where C is an arbitrary constant, at #(-2,1)#?
The slope of the tangent line
We start from the given equation
Expand the left side of the equation
Differentiate both sides of the equation with respect to
Substitute right away the value of
God bless....I hope the explanation is useful.